3 problems
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One-vaccination conjecture for the Pentagon Graph
Let the Pentagon Graph be the infinite graph obtained from a pentagonal tiling of the plane, with vertices of degrees three and four. Consider the virus-containment process in whic…
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One-vaccine conjecture for the hexagonal grid
Let the hexagonal grid be the infinite 3-regular graph whose vertices and edges arise from a tiling of the plane by regular hexagons. Consider the virus-containment process in whic…
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Hartke's integrality gap conjecture for trees with at most 12 vertices
Let be a tree, and consider the linear program obtained from the MacGillivray–Wang integer program for virus spread by relaxing to a linear constraint and addi…